More precisely, assume \(n\ge 2\) , \(d\ge 1\) . Let \(E=\mathbb {R}^d\)  denote the \(d\) -dimensional Euclidean space. An element of \(E^n\)  will be denoted by \({{q}}=({{q}}_1,{{q}}_2,\ldots , {{q}}_n)\)  where \(\forall \, j\) , \({{q}}_j \in E\) . Let \(\mathbb {F}_{n}(E)\)  denote as in [1]} the configuration space of \(n\)  particles in \(E\) :
\(\mathbb {F}_{n}(E) = \big \lbrace {{q}}\in E^n \colon {{q}}_i \ne {{q}}_j \big \rbrace .\) 
